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Related papers: Apparent first-order wetting and anomalous scaling…

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We investigate the critical behavior, both in space and time, of the wetting interface within the coexistence region around the first-order phase transition of a fully-connected quantum Ising model in slab geometry. For that, we employ the…

Statistical Mechanics · Physics 2023-03-07 Claudia Artiaco , Andrea Nava , Michele Fabrizio

The one-dimensional (1D) domain wall of 2D $\mathbb{Z}_{2}$ topological orders is studied theoretically. The Ising domain wall model is shown to have an emergent SU(2)$_{1}$ conformal symmetry because of a hidden nonsymmorphic octahedral…

Strongly Correlated Electrons · Physics 2026-01-21 Hong-Hao Song , Chen Peng , Rui-Zhen Huang , Long Zhang

Due to intrinsic frustrations of interaction, the 2d Ising model with competing ferromagnetic short-range nearest-neighbour and antiferromagnetic long-range dipole interactions possesses a rich phase diagram. The order of the phase…

Statistical Mechanics · Physics 2015-07-03 P. Sarkanych , Yu. Holovatch , R. Kenna

We demonstrate the nontrivial scaling behavior of Ising models defined on (i) a donut-shaped surface and (ii) a curved surface with a constant negative curvature. By performing Monte Carlo simulations, we find that the former model has two…

Disordered Systems and Neural Networks · Physics 2009-11-11 Isaku Hasegawa , Yasunori Sakaniwa , Hiroyuki Shima

We study the thermal properties of the classical antiferromagnetic Heisenberg model with both nearest ($J_1$) and next-nearest ($J_2$) exchange couplings on the square lattice by extensive Monte Carlo simulations. We show that, for $J_2/J_1…

Strongly Correlated Electrons · Physics 2009-11-10 C. Weber , L. Capriotti , G. Misguich , F. Becca , M. Elhajal , F. Mila

By using extensive tensor network calculations, we map out the phase diagram of the frustrated $J_1$-$J_2$ Ising model on the square lattice. In particular, we focus on the cases with controversy in the phase diagram, especially the stripe…

Statistical Mechanics · Physics 2021-08-19 Hong Li , Li-Ping Yang

We consider the surface critical behaviour of a semi-infinite two-dimensional layered Ising model, where the couplings perpendicular to the surface follow the aperiodic Rudin-Shapiro sequence. The model has unusual critical properties:…

Statistical Mechanics · Physics 2009-10-22 F. Igloi , L. Turban

Analytic phenomenological scaling is carried out for the random field Ising model in general dimensions using a bar geometry. Domain wall configurations and their decorated profiles and associated wandering and other exponents…

Condensed Matter · Physics 2009-10-28 R. B. Stinchcombe , E. D. Moore , S. L. A. de Queiroz

We consider the scaling limit of a generic ferromagnetic system with a continuous phase transition, on the half plane with boundary conditions leading to the equilibrium of two different phases below criticality. We use general properties…

Statistical Mechanics · Physics 2014-10-09 Gesualdo Delfino , Alessio Squarcini

We experimentally investigate the nature of 2D phase transitions in a quasi-2D granular fluid. Using a surface decorated with periodically spaced dimples we observe interfacial tension between coexisting liquid and crystal phases.…

Soft Condensed Matter · Physics 2022-01-05 J. G. Downs , N. D. Smith , K. K. Mandadapu , J. P. Garrahan , M. I. Smith

Recent advances in conformal field theory and critical phenomena have focused on the characterization of boundary or defects in a conformally invariant system. In this Letter we study the critical behavior of the three-dimensional Ising…

Statistical Mechanics · Physics 2025-09-10 Dorian Przetakiewicz , Stefan Wessel , Francesco Parisen Toldin

Anomalous global symmetries, which can be realized on the boundary of symmetry-protected topological phases, brings new phases and phase transitions to condensed matter physics. In this work, we study a one dimensional model with an…

Strongly Correlated Electrons · Physics 2022-11-11 Jin-Xiang Hao , Wei Li , Yang Qi

We perform intensive numerical simulations of the three-dimensional site-diluted Ising antiferromagnet in a magnetic field at high values of the external applied field. Even if data for small lattice sizes are compatible with second-order…

Disordered Systems and Neural Networks · Physics 2009-11-13 A. Maiorano , V. Martín-Mayor , J. J. Ruiz-Lorenzo , A. Tarancón

For the first order transition of the Ising model below $T_c$, Isakov has proven that the free energy possesses an essential singularity in the applied field. Such a singularity in the control parameter, anticipated by condensation theory,…

Statistical Mechanics · Physics 2011-10-11 J. L. Meunier , A. Morel

The symmetry of Ising model questions any single crossover scenario for supercritical fluids. In this work, we firstly study a pair of thermodynamic crossovers $L^\pm$ analytically for the Van der Waals class fluids. We uncover an emergent…

Statistical Mechanics · Physics 2025-09-23 Hong-Ming Cui , Zhong-Ying Fan

The boundary-induced scaling of three-dimensional random field Ising magnets is investigated close to the bulk critical point by exact combinatorial optimization methods. We measure several exponents describing surface criticality:…

Disordered Systems and Neural Networks · Physics 2009-11-11 L. Laurson , M. J. Alava

In this two-part study we investigate the phase behaviour of a fluid spatially confined in a semi-infinite rectangular pore formed by three orthogonal walls and connected to a reservoir maintaining constant values of pressure and…

Soft Condensed Matter · Physics 2013-09-23 P. Yatsyshin , N. Savva , S. Kalliadasis

Uncovering and understanding universal dynamics in matter far from equilibrium remains a key challenge. In this work, we identify a so far unrecognized form of universal behavior that emerges after a sudden symmetry-breaking quench at…

Quantum Physics · Physics 2026-05-11 Tobias Wiener , Laurin Brunner , Markus Heyl

We study numerically the phase-ordering kinetics of the two-dimensional site-diluted Ising model. The data can be interpreted in a framework motivated by renormalization-group concepts. Apart from the usual fixed point of the non-diluted…

Statistical Mechanics · Physics 2013-12-10 Federico Corberi , Eugenio Lippiello , Anupam Mukherjee , Sanjay Puri , Marco Zannetti

The wetting transition is studied in the McCoy-Wu Ising model in which the random bonds are perfectly correlated in the direction parallel to the walls . The model is solved numerically on finite size lattices up to $200 \times 200^2$. It…

Statistical Mechanics · Physics 2020-07-15 Xintian Wu
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